What is the Greatest Common Factor of 75713 and 75730?

Greatest common factor (GCF) of 75713 and 75730 is 1.

GCF(75713,75730) = 1

We will now calculate the prime factors of 75713 and 75730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75713 and 75730.

How to find the GCF of 75713 and 75730?

We will first find the prime factorization of 75713 and 75730. After we will calculate the factors of 75713 and 75730 and find the biggest common factor number .

Step-1: Prime Factorization of 75713

Prime factors of 75713 are 11, 6883. Prime factorization of 75713 in exponential form is:

75713 = 11¹ × 6883¹

Step-2: Prime Factorization of 75730

Prime factors of 75730 are 2, 5, 7573. Prime factorization of 75730 in exponential form is:

75730 = 2¹ × 5¹ × 7573¹

Step-3: Factors of 75713

List of positive integer factors of 75713 that divides 75713 without a remainder.

1, 11, 6883

Step-4: Factors of 75730

List of positive integer factors of 75730 that divides 75713 without a remainder.

1, 2, 5, 10, 7573, 15146, 37865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75713 and 75730. The biggest common factor number is the GCF number.
So the greatest common factor 75713 and 75730 is 1.

Also check out the Least Common Multiple of 75713 and 75730